{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ZYGWCMSXQABBZ3BONXBKFFQPBT","short_pith_number":"pith:ZYGWCMSX","schema_version":"1.0","canonical_sha256":"ce0d61325780021cec2e6dc2a2960f0cc17cfc42cc14b412910e3d3893c2b698","source":{"kind":"arxiv","id":"1107.0168","version":1},"attestation_state":"computed","paper":{"title":"Abelianity Conjecture for special threefolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Beno\\^it Claudon (IECN), Fr\\'ed\\'eric Campana (IECN)","submitted_at":"2011-07-01T09:40:31Z","abstract_excerpt":"Using orbifold metrics of the appropriately signed Ricci curvature on orbifolds with negative or numerically trivial canonical bundle and the two-dimensional Log Minimal Model Program, we prove that the fundamental group of special compact K\\\"ahler threefolds is almost abelian. This property was conjectured in all dimensions in [Cam04b], and also for orbifolds in [Cam07], where the notion of specialness was introduced. We briefly recall below the definition, basic properties, and the role of special manifolds in classification theory."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1107.0168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-01T09:40:31Z","cross_cats_sorted":[],"title_canon_sha256":"b8abf5192f12a93b664b87d91da85432dc76b585685a3e993c6144d8f59488bc","abstract_canon_sha256":"77840db5d0b451dbec123332de2fefa0696f7fa9822f78d0d2bba8a23a2749e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:46.004790Z","signature_b64":"f3DPocWhPO5rniowKy0rUV/mO+iY3xS6TJQW2q5I4XF3g+33Gt7Fl6s8w1JTAgbFs9VkcjAeB034PR7ButGzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce0d61325780021cec2e6dc2a2960f0cc17cfc42cc14b412910e3d3893c2b698","last_reissued_at":"2026-05-18T02:40:46.004174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:46.004174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Abelianity Conjecture for special threefolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Beno\\^it Claudon (IECN), Fr\\'ed\\'eric Campana (IECN)","submitted_at":"2011-07-01T09:40:31Z","abstract_excerpt":"Using orbifold metrics of the appropriately signed Ricci curvature on orbifolds with negative or numerically trivial canonical bundle and the two-dimensional Log Minimal Model Program, we prove that the fundamental group of special compact K\\\"ahler threefolds is almost abelian. This property was conjectured in all dimensions in [Cam04b], and also for orbifolds in [Cam07], where the notion of specialness was introduced. We briefly recall below the definition, basic properties, and the role of special manifolds in classification theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0168","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1107.0168","created_at":"2026-05-18T02:40:46.004270+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.0168v1","created_at":"2026-05-18T02:40:46.004270+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0168","created_at":"2026-05-18T02:40:46.004270+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZYGWCMSXQABB","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZYGWCMSXQABBZ3BO","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZYGWCMSX","created_at":"2026-05-18T12:26:50.516681+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT","json":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT.json","graph_json":"https://pith.science/api/pith-number/ZYGWCMSXQABBZ3BONXBKFFQPBT/graph.json","events_json":"https://pith.science/api/pith-number/ZYGWCMSXQABBZ3BONXBKFFQPBT/events.json","paper":"https://pith.science/paper/ZYGWCMSX"},"agent_actions":{"view_html":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT","download_json":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT.json","view_paper":"https://pith.science/paper/ZYGWCMSX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.0168&json=true","fetch_graph":"https://pith.science/api/pith-number/ZYGWCMSXQABBZ3BONXBKFFQPBT/graph.json","fetch_events":"https://pith.science/api/pith-number/ZYGWCMSXQABBZ3BONXBKFFQPBT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT/action/storage_attestation","attest_author":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT/action/author_attestation","sign_citation":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT/action/citation_signature","submit_replication":"https://pith.science/pith/ZYGWCMSXQABBZ3BONXBKFFQPBT/action/replication_record"}},"created_at":"2026-05-18T02:40:46.004270+00:00","updated_at":"2026-05-18T02:40:46.004270+00:00"}